Researchers from Quanscient, a leader in cloud-based multiphysics simulation technology and quantum algorithms, and Haiqu, a ...

The encryption protecting global banking, government communications, and digital identity does not fail when a quantum ...

ABSTRACT: Quantum technologies, mainly quantum computing and quantum sensing are emerging as new applications of quantum mechanics for practical use. Two notable advancements in quantum computing and ...

Shor’s algorithm is a quantum algorithm for factoring a number N in O((log N)3) time and O(log N) space, ...

Abstract: As is well known that the security of RSA depends on the hardness of integer factorization. The integer factorization method ToolBox includes many algorithms: trial division algorithm, ...

A complete, proof-of-concept, C# implementation of the General Number Field Sieve algorithm for factoring very large semi-prime numbers. The focus was on readability and understandability of the code, ...

Abstract: Mathematicians have always been fascinated by the subject of finding the prime numbers of large composite numbers. They have studied various methods and have focused on developing several ...

ABSTRACT: In this paper is demonstrated a method for reduction of integer factorization problem to an analysis of a sequence of modular elliptic equations. As a result, the paper provides a ...